3543522400 has 144 divisors (see below), whose sum is σ = 9477237168. Its totient is φ = 1283072000.

The previous prime is 3543522379. The next prime is 3543522427. The reversal of 3543522400 is 42253453.

3543522400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472084 + ... + 2473516.

It is an arithmetic number, because the mean of its divisors is an integer number (65814147).

Almost surely, 2^3543522400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3543522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738618584).

3543522400 is an abundant number, since it is smaller than the sum of its proper divisors (5933714768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3543522400 is a wasteful number, since it uses less digits than its factorization.

3543522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 3543522400 is about 59527.4928079455. The cubic root of 3543522400 is about 1524.5618951146.

Adding to 3543522400 its reverse (42253453), we get a palindrome (3585775853).

The spelling of 3543522400 in words is "three billion, five hundred forty-three million, five hundred twenty-two thousand, four hundred".